What is the answer to 8-2|8-2x|=-4 ?

The answer to 8-2|8-2x|=-4 is x=1\lor x=7

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8-2|8-2x|=-4

8 - 2 ∣ 8 - 2 x ∣ = - 4

x = 1 or x = 7

Solution steps

8 - 2 ∣ 8 - 2 x ∣ = - 4

Move

8

to the right side

- 2 ∣ 8 - 2 x ∣ = - 12

Divide both sides by

- 2

∣ 8 - 2 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - 2 x = - 6 or 8 - 2 x = 6

8 - 2 x = - 6 or 8 - 2 x = 6

x = 1 or x = 7

(a^{- 1} + b^{- 1})^{- 1}

121 x^{2} - 36 y^{2}

- 2 x^{2} + 5 x - 3

\frac{1}{- 5}

2 x^{3} - 2 v^{4} x^{3}